JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

Let

f(x)=\frac{\log _e\left(x^2+e^x\right)}{\log _e\left(x^4+e^{2 x}\right)}

. If

\lim \limits_{{x \rightarrow \infty}} f(x)=l

and

\lim \limits_{{x \rightarrow-\infty}} f(x)=m

, then

View answer and explanation

Correct option: A

l=m

Option B (

\sqrt{pq}

) is correct because it is obtained by converting the limit to an exponential form and using L'Hopital's rule or the properties of limits.

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